it may be complex issue, there are bunch of clear and hidden things that can go wrong this way, so you supposed to understand what are you doing each step and how it work
but in short - I checked a random fingerprint through the BAS and it worked with no problem
but i've downloaded fingerprint to my computer and run it from there, I am not sure which way exactly you going
did you checked access to google through your proxy but without fingerprint? one of the hundreds possible issue - your proxy provider blocking google domain